potential energy and total energy of the object at the time t2 if only conservative forces act on the object.

See photo x = 36.0 m, y = 38.2 m, z = 43.2 m a. Assuming the track is frictionless, what is the minimum speed required at Point A for the roller-coaster to reach Point B? b. If the roller-coaster starts at Point A with this speed, how fast will it be going when it reaches Point B? c. What will be the maximum speed of the roller-coaster during this part of its trip?

A 500 kg cart rests atop a hill 30.0 m high on a roller coaster. Its gravitational potential energy is measured relative to the bottom of the hill. The cart then rolls down the hill. Which of these best describes what is happening in this situation?   a. the total mechanical energy of the cart is decreasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is increasing   b. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is increasing   c. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is increasing, and the gravitational potential energy of the cart is decreasing   d. the total mechanical energy of the cart is increasing, the kinetic energy of the cart is decreasing, and the gravitational potential energy of the cart is increasing   e. the total mechanical energy of…

Constructed Response 1 Jim is lying on his back on the ground throwing a ball in the air and catching it. There is a balcony 10 meters above his head onto which he is trying to land the ball. On his last throw the ball lands on the balcony. The graph below shows the potential and kinetic energy of the ball from when it left Jim's hand to when it landed on the balcony. ★ Graivational Potential energy A Kinetic energy 200 180 160 140 120 100 80 60 40 20 0. 0. 4 9. 10 Height (m) 8. 2. Energy (J)